question archive Find the modified internal rate of return (MIRR) for the following series of future cash flows if the company is able to reinvest cash flows received from the project at an annual rate of 12

Find the modified internal rate of return (MIRR) for the following series of future cash flows if the company is able to reinvest cash flows received from the project at an annual rate of 12

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Find the modified internal rate of return (MIRR) for the following series of future cash flows if the company is able to reinvest cash flows received from the project at an annual rate of 12.95 percent. The initial outlay is $329,500.

Year 1: $185,700

Year 2: $145,200

Year 3: $164,300

Year 4: $166,500

Year 5: $143,500

Round the answer to two decimal places in percentage form. (Write the percentage sign in the "units" box)

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MIRR=26.14%

Step-by-step explanation

STEP 1

Future value of cash inflows

 Future value of cash inflows= CF1 * (1 + R)^4 + CF2 * (1 + R)^3 + CF3 * (1 + R)^2 + CF4 * (1 + R)^1 + CF5

=185,700*(1.1295)^4 +145,200*(1.1295)^3 +164,300*(1.1295)^2 +166,500*(1.1295)^1 +143,500*(1.1295)^0

=302,243.4130+209,230.6586+209,609.0521+188,061.75+143,500

Future value of cash inflows=1,052,644.8737

 

STEP 2

MIRR 

MIRR = (FV of cash inflows / Initial investment) ^(1 / N) -1

(1,052,644.8737/329,500)^1/5-1

=1.2615-1

=0.2614

=26.14%